SOLUTION: If I climb a mountain at 1.5 km an hour, and go down at 4.5, the entire trip is 6 hours, how long is the climb?

Question 1006193: If I climb a mountain at 1.5 km an hour, and go down at 4.5, the entire trip is 6 hours, how long is the climb?
Answer by ikleyn(52852)   (Show Source): You can put this solution on YOUR website!
.
Let L is the length of the way in one (in each) direction, in kilometers.

Then you spent    for climbing up and      for the way down.

In total you spent + for the entire trip, and it is equal to 6 hours.
It gives you an equation

+ = 6,     or

+ = 6,     or

4L = 6*4.5 = 27.

Hence, L = = 6.75 km.

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